Finding the Third Proportional to 89,248 and 138,268

Step by Step Solution

1. Step 1: Write the proportion equation
   89,248 : 138,268 = 138,268 : x
2. Step 2: Convert to fraction form
   89,248/138,268 = 138,268/x
3. Step 3: Cross multiply
   89,248x = 138,268 × 138,268
4. Step 4: Simplify right side
   89,248x = 19,118,039,824
5. Step 5: Solve for x
   x = 19,118,039,824/89,248
6. Step 6: Final answer
   x = 214,212.53